EAMCET Mathematics Practice Test 018

Test Description

This Mathematics Practice Test is the eighteenth mock test in the series of many Mathematics tests. This test consists of 40 objective type questions from both Intermediate First Year and Intermediate Second Year Mathematics. This test provides questions in the format of Andhra Pradesh (AP) EAPCET and Telangana (TS) EAMCET.

This test is completely free, and students can attempt as many times as needed and help students in preparing for entrance tests and get admissions into various reputed colleges for Engineering.

Test Instructions

The test contains 40 multiple-choice questions.
Total time for the test is 0h 45m.
Each question carries equal marks.
There is no negative marking for wrong answers.
Use of calculator is not allowed.
Do not refresh the page during the test.
Make sure you have a stable internet connection.

Quick Test

(1 of 40) If sinh(log x) = -2 then x=

$\sqrt{5} - 2$
$2 + \sqrt{5}$
$- (2 + \sqrt{5})$
$2 - \sqrt{5}$

(2 of 40) In an isosceles right angled triangle, a straight line is drawn from the mid point of one of the equal sides to the opposite vertex. Then a pair of possible values of the cotangents of the two angles so formed at that vertex are

1 and 2
2 and 3
3 and 4
4 and 5

(3 of 40) If the position vectors of P and Q are

i + 2 j - 7 k and 5 i - 3 j + 4 k

respectively, then the cosine of the angle between

PQ

and Z-axis is

$\frac{4}{\sqrt{162}}$
$\frac{11}{\sqrt{162}}$
$\frac{5}{\sqrt{162}}$
$\frac{- 5}{\sqrt{162}}$

(4 of 40)

a, b, c

are three-unit vectors such that

|a + b + c| = 1

and

a

is perpendicular to

b

. If

c

makes angles

α, β

with

a, b

respectively, then

\cos α + \cos β =

1
-1
2
-2

(5 of 40) Two numbers b and c are chosen at random in succession without replacement from the set

\{1, 2, 3, . . . 9\}

. Then the probability that

x^{2} + bx + c > 0

\forall x \in ℝ

$\frac{29}{72}$
$\frac{32}{81}$
$\frac{45}{143}$
$\frac{82}{125}$

(6 of 40) A student is given 6 questions in an examination with true or false type of answers. If he writes 4 or more correct answers, he passes in the examination. The probability that he passes in the examination is

$\frac{5}{32}$
$\frac{7}{32}$
$\frac{11}{32}$
$\frac{3}{32}$

(7 of 40) If

P (X = x) = c {(\frac{2}{3})}^{x}

; x=1,2,3,4... is a probability distribution function of a random variable X, then the value of c is

$\frac{1}{4}$
$\frac{1}{3}$
$\frac{1}{2}$
$\frac{1}{6}$

(8 of 40) If t is a parameter, A= (a sec t, b tan t), B=(-a tan t, b sec t) and O=(0,0) then the locus of the centroid of

∆ OAB

9xy=ab
xy=9ab
$x^{2} - 9 y^{2} = a^{2} - b^{2}$
$x^{2} - y^{2} = \frac{1}{9} (a^{2} - b^{2})$

(9 of 40) The angle by which the coordinate axes are to be rotated about the origin so that the transformed equation of

\sqrt{3} x^{2} + (\sqrt{3} - 1) x y - y^{2} = 0

would be free from xy term is

$45 °$
$22.5 °$
$15 °$
$7.5 °$

(10 of 40) If the slope of a straight line passing through A(3,2) is 3/4, then the coordinates of the two points on the same line that are 5 units away from A are

(-7, 5), (1,-1)
(7, 5), (-1,-1)
(6,9), (-2,3)
(6,3),(-2,-3)

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Test Details

Duration

0h 45m

Questions

40 Multiple Choice Questions

Passing Score

N/A% or higher to pass

Attempts

Unlimited attempts allowed

Total Runs

100